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Finding the Fourth Proportional to 27,174.80, 37,509.12 and 17,614.40

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Solution

The fourth proportional to 27,174.80, 37,509.12 and 17,614.40 is: 24,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.80 : 37,509.12 = 17,614.40 : x
  2. Step 2: Convert to fraction form
    27,174.80/37,509.12 = 17,614.40/x
  3. Step 3: Cross multiply
    27,174.80x = 37,509.12 × 17,614.40
  4. Step 4: Simplify right side
    27,174.80x = 660,700,643.33
  5. Step 5: Solve for x
    x = 660,700,643.33/27,174.80
  6. Step 6: Final answer
    x = 24,312.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.